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Finding the Fourth Proportional to 10,821.22, 14,940.01 and 8,298.48

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Solution

The fourth proportional to 10,821.22, 14,940.01 and 8,298.48 is: 11,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.22 : 14,940.01 = 8,298.48 : x
  2. Step 2: Convert to fraction form
    10,821.22/14,940.01 = 8,298.48/x
  3. Step 3: Cross multiply
    10,821.22x = 14,940.01 × 8,298.48
  4. Step 4: Simplify right side
    10,821.22x = 123,979,353.44
  5. Step 5: Solve for x
    x = 123,979,353.44/10,821.22
  6. Step 6: Final answer
    x = 11,457.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.